Some Topics in the Statics and Dynamics of Material Bodies
There is a vast literature in continuum mechanics on topics ranging from the classical theories of hydrodynamics and linear elasticity to the modern theories of materials with memory effects and dislocations. In this chapter we shall consider only three topics for the purpose of illustrating the basic principles developed in the preceding chapter. The topics are: the theory of viscometric flows of simple fluids, the universal solutions of isotropic elastic solids, and the mathematical formulation of continuous distributions of dislocations in elastic bodies.
KeywordsDeformation Gradient Reference Configuration Material Body Deformation Function Simple Shearing Flow
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